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Finding the Fourth Proportional to 257,683.88, 355,604.18 and 142,958.93

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Solution

The fourth proportional to 257,683.88, 355,604.18 and 142,958.93 is: 197,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,683.88 : 355,604.18 = 142,958.93 : x
  2. Step 2: Convert to fraction form
    257,683.88/355,604.18 = 142,958.93/x
  3. Step 3: Cross multiply
    257,683.88x = 355,604.18 × 142,958.93
  4. Step 4: Simplify right side
    257,683.88x = 50,836,790,583.51
  5. Step 5: Solve for x
    x = 50,836,790,583.51/257,683.88
  6. Step 6: Final answer
    x = 197,283.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.